Home
Class 12
MATHS
Let * be a binary operation on set of in...

Let * be a binary operation on set of integers I, defined by `a*b=2a+b-3.` Find the value of `3*4`.

Text Solution

Verified by Experts

Given `a times b = 2a + b -3`
`3 times 4 = 2(3) +4 - 3 `
` = 6 + 4 - 3`
` = 7 `
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos

  • BINOMIAL DISTRIBUTION

    RD SHARMA|Exercise Solved Examples And Exercises|141 Videos

Similar Questions

Explore conceptually related problems

Define a binary operation on a set.

If the binary operation * on the set Z of integers is defined by a*b=a+3b^(2), find the value of 2*4.

If the binary operation * on the set Z of integers is defined by a*b=a+3b^(2), find the value of 2*4.

If the binary operation * on the set of integers Z, is defined by a^(*)b=a+3b^(2), then find the value of 2*4

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' associative or commutative on N ?

Let *, be a binary operation on N, the set of natural numbers defined by a*b = a^b, for all a,b in N. is * associative or commutative on N?

If the binary operation * defined on Q, is defined as a*b=2a+b-ab, for all a*bQ, find the value of 3*4

If the binary operation * on the set Z of integers is defined by a*b=a+b-5 then write the identity element for the operation * in Z .

If the binary operation ** on the set Z of integers is defined by a**b=a+b-5 , then write the identity element for the operation '**' in Z.

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Discuss the commutativity and associativity of the binary operation * ...

    Text Solution

    |

  2. If a*b=a^2+b^2, then the value of (4*5)*3 is

    Text Solution

    |

  3. Let * be a binary operation on set of integers I, defined by a*b=2a+b-...

    Text Solution

    |

  4. Discuss the commutativity and associativity of the binary operation * ...

    Text Solution

    |

  5. Define a binary operation ** on the set A={0,1,2,3,4,5} as a**b=(a+b) ...

    Text Solution

    |

  6. Consider the set S={1,-1,i ,-1} for fourth roots of unity. Construct t...

    Text Solution

    |

  7. On R-[1] , a binary operation * is defined by a*b=a+b-a b . Prove that...

    Text Solution

    |

  8. Let * be a binary operation on Q0 (set of non-zero rational numbers) ...

    Text Solution

    |

  9. If the binary operation * on the set Z of integers is defined by a*...

    Text Solution

    |

  10. Let n be a positive integer. Prove that the relation R on the set Z o...

    Text Solution

    |

  11. Define a binary operation * on the set A={1,2,3,4} as a*b=a b (mod 5)....

    Text Solution

    |

  12. On the set R-{-1} a binary operation * is defined by a*b=a+b+a b for a...

    Text Solution

    |

  13. Q^+ denote the set of all positive rational numbers. If the binary ope...

    Text Solution

    |

  14. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

    Text Solution

    |

  15. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

    Text Solution

    |

  16. Is * defined by a*b=(a+b)/2 is binary operation on Z.

    Text Solution

    |

  17. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

    Text Solution

    |

  18. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

    Text Solution

    |

  19. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

    Text Solution

    |

  20. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

    Text Solution

    |